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Fabrizio Musacchio
Fabrizio Musacchio
@FabMusacchio@mastodon.social  ·  activity timestamp last week

Looking at #correlation plots, I sometimes see R² ("R-squared") reported instead of the Pearson correlation coefficient r. While R² = r² holds in simple linear regression, reporting R² alone can mislead by omitting directionality. I have summarized the key differences between r and R² and tried to give a best-practice guide on when to use each:

🌍 https://www.fabriziomusacchio.com/blog/2025-09-13-r_vs_r_squared/

#Python #Statistics #DataScience #Neuroscience

When to report r vs R^2: r quantifies the strength and direction of linear association between two variables, while R^2  measures the proportion of variance explained by a regression model.
When to report r vs R^2: r quantifies the strength and direction of linear association between two variables, while R^2 measures the proportion of variance explained by a regression model.
When to report r vs R^2: r quantifies the strength and direction of linear association between two variables, while R^2 measures the proportion of variance explained by a regression model.
Fabrizio Musacchio

Distinguishing correlation from the coefficient of determination: Proper reporting of r and R²

I noticed that people sometimes report R² (‘R-squared’) instead of the Pearson correlation coefficient r when discussing the correlation between two variables. In the special case of a simple linear relationship this numerical equality is not strictly wrong, yet presenting R² as if it were the correlation coefficient might wrongly give the impression they are the same thing. In this post, we will therefore unpack the difference between these two measures, explain their mathematical definitions and proper usage discuss the best practices for when to use each in statistical reporting.
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